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<div><span class="kw">theorem </span><a NAME="T41"><span class="comment"><font color="firebrick">:: EUCLID12:41</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L1</font>, <font color="Olive" title="b2">L2</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="euclidlp.html#K1" title="EUCLIDLP:func.1">line_of_REAL</a> 2  st <font color="Olive" title="b1">L1</font> is  <a href="euclid_4.html#V1" title="EUCLID_4:attr.1">being_line</a>  &amp; <font color="Olive" title="b2">L2</font> is  <a href="euclid_4.html#V1" title="EUCLID_4:attr.1">being_line</a>  &amp; <font color="Olive" title="b1">L1</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a> <font color="Olive" title="b2">L2</font> holds <br/><font color="Olive" title="b1">L1</font> <a href="euclidlp.html#R5" title="EUCLIDLP:pred.5">//</a> <font color="Olive" title="b2">L2</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="euclid12.html#T39" target="_self" onmouseover="rs('euclid12/T39')" onmouseout="rh()">Th31</a>, <a class="ref" href="euclidlp.html#T113" onmouseover="rs('euclidlp/T113')" onmouseout="rh()">EUCLIDLP:113</a></span>;<br/></div></div>
